Algebraic Expressions Gcf

Factor the expression using the GCF:
24k + 32

• 8(3k + 4)

• 2(12k + 16)

• 24k + 32

• 8(3k + 5)

Write an expression:  Maxine has k points from the game.  Raegan has three times as many points as Maxine.  Sue has four more points than Raegan.  How many points does Sue have?

• 3k - 4

• 3k + 4

• 4(3 + k)

• 12k + 4

Simplify the expression:
26k + 12p + k - p + 10k

• 37k + 11p

• 27k + 11p

• 36k + 11p

• 37k - 11p

Using the GCF, what is the factored form of 18f - 45

• 3(6f - 15)

• 9(2f - 5)

• 6(3f - 5)

• 18(f - 3.5)

Consider the expression -4b + 8c + 12. Part A: Factor the expression using the GCF by dragging and dropping the numbers to the correct locations. ​ (a)   (​ (b)   b + ​ (c)   c + ​ (d)   ) Part B: What is the value of the expression when b = 2 and c =1? ​ (e)  

• 4

• -1

• 2

• 3

• 12

• -4

• 20

• -3

Answer explanation

The expression -4b + 8c + 12 can be factored as 4(-b + 2c + 3). When b = 2 and c = 1, the expression evaluates to 4(-2 + 2 + 3) = 4(3) = 12. Therefore, the correct answer is 12.

Consider the expression -4b + 8c + 12.

Part A: Factor the expression using the GCF by dragging and dropping the numbers to the correct locations.

​ (a)   (​ (b)   b + ​ (c)   c + ​ (d)   )

Part B: What is the value of the expression when b = 2 and c =1?

​ (e)  

• 4

• -1

• 2

• 3

• 12

• -4

• 20

• -3

Answer explanation

The expression -4b + 8c + 12 can be factored as 4(-b + 2c + 3). When b = 2 and c = 1, the expression evaluates to 4(-2 + 2 + 3) = 4(3) = 12. Therefore, the correct answer is 12.

Use the distributive property and the GCF to determine the equivalent expression for 30d+18

• 6(5d+3)

• 48d

• 2(15d+9)

4x³y⁴ is the GCF of 24x⁶y⁴ and what term?

• 36x⁴y⁷

• 17xy⁷

• 20x³y⁴

• 6x⁴y³

• 3(5m - 1mn)

• 5m(3 - n)

• 5(3m - mn)

• -5(3m - mn)